{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# MAGNETIZATION VECTOR FIELD RECONSTRUCTION: Disc Sample\n",
    "\n",
    "## Notebook Documentation\n",
    "\n",
    "<br>\n",
    "<br>\n",
    "<img alt=\"Creative Commons License\" style=\"border-width:0\" src=\"https://i.creativecommons.org/l/by/4.0/88x31.png\" />\n",
    "Magnetization Vector Field Reconstruction Notebook Documentation is licensed under the Creative Commons Attribution 4.0 International License (2018).\n",
    "To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.\n",
    "\n",
    "Documentation Authors:\n",
    "- Marc Rosanes\n",
    "- Doga Gursoy\n",
    "- Aurelio Hierro\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Testing the 3D vector field reconstruction algorithm \n",
    "## From a reconstructed 3D object to its projections and back\n",
    "\n",
    "\n",
    "In this notebook we are following the same principle than in the notebook where M4R1 Sample is analyzed. \n",
    "\n",
    "In order to test the algorithm, the projections of a reconstructed oject can be computed, and from these projections we can come back to the reconstructed model object. If the appearance of the reconstructed model object from its computed projections is similar to the initial 3D object, this means that the vectorial reconstruction algorithm is performing correctly.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### Testing the 3D vector field reconstruction algorithm\n",
    "\n",
    "\n",
    "First, let's make the necessary imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "import dxchange\n",
    "import tomopy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "...let us load the our object: the three components of the magnetization vector all along the object. The shapes will be read in order to verify that the object magnetization components (in this case: $2L^{-1}\\delta\\vec{m}$) have been correctly loaded. Afterwards we will pad the object in order to have a cubic object.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 64, 64)\n",
      "(10, 64, 64)\n",
      "(10, 64, 64)\n"
     ]
    }
   ],
   "source": [
    "obx_orig = dxchange.read_tiff('mx_Recon_disk.tif').astype('float32')\n",
    "oby_orig = dxchange.read_tiff('my_Recon_disk.tif').astype('float32')\n",
    "obz_orig = dxchange.read_tiff('mz_Recon_disk.tif').astype('float32')\n",
    "\n",
    "print(np.shape(obx_orig))\n",
    "print(np.shape(oby_orig))\n",
    "print(np.shape(obz_orig))\n",
    "\n",
    "npad = ((27, 27), (0, 0), (0, 0))\n",
    "obx = np.pad(-obx_orig, npad, mode='constant', constant_values=0)\n",
    "oby = np.pad(-oby_orig, npad, mode='constant', constant_values=0)\n",
    "obz = np.pad(obz_orig, npad, mode='constant', constant_values=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Check the inputs, to see that the given input datasets are coherent. It can be observed the 'ying-yang' form at the midle of the disc changes its direction with the depth inside the object (changing slice)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f50b0442910>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f50b0a95990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 6))\n",
    "ax1 = fig.add_subplot(1, 3, 1)\n",
    "ax1.imshow(obx[27,:,:])\n",
    "ax2 = fig.add_subplot(1, 3, 2)\n",
    "ax2.imshow(oby[27,:,:])\n",
    "ax3 = fig.add_subplot(1, 3, 3)\n",
    "ax3.imshow(obz[27,:,:])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f50b0346450>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f50b0a95410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10, 5))\n",
    "ax1 = fig.add_subplot(1, 3, 1)\n",
    "ax1.imshow(obx[35,:,:])\n",
    "ax2 = fig.add_subplot(1, 3, 2)\n",
    "ax2.imshow(oby[35,:,:])\n",
    "ax3 = fig.add_subplot(1, 3, 3)\n",
    "ax3.imshow(obz[35,:,:])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "...we load the tilt angles, we add to them an offset of 90 degrees and we convert to radians:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "tilt_angles_file = 'Tilt_Ang.txt'\n",
    "ang = np.loadtxt(tilt_angles_file)\n",
    "ang = -np.array(np.pi/2. + ang * np.pi/180., dtype='float32')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "...and calculate the projections of the object taking rotation axes around the three perpendicular cartesian axes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(121, 64, 64)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e981bcd0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60ea0a9bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prj1 = tomopy.project3(obx, oby, obz, ang, axis=0, pad=False)\n",
    "prj2 = tomopy.project3(obx, oby, obz, ang, axis=1, pad=False)\n",
    "prj3 = tomopy.project3(obx, oby, obz, ang, axis=2, pad=False)\n",
    "print(np.shape(prj1))\n",
    "fig = plt.figure(figsize=(10, 5))\n",
    "ax1 = fig.add_subplot(1, 3, 1)\n",
    "ax1.imshow(prj1[10,:,:])\n",
    "ax2 = fig.add_subplot(1, 3, 2)\n",
    "ax2.imshow(prj2[10,:,:])\n",
    "ax3 = fig.add_subplot(1, 3, 3)\n",
    "ax3.imshow(prj3[10,:,:])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Finally we will reconstruct the vector magnetization field components (in fact it is the quantity $2L^{-1}\\delta\\vec{m}$, the one which is reconstructed), taking as input the projections that we have calculated thanks to the first 3D initial object.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "9.19873285294\n",
      "(64, 64, 64)\n",
      "(64, 64, 64)\n",
      "(64, 64, 64)\n"
     ]
    }
   ],
   "source": [
    "t = time.time()\n",
    "rec1, rec2, rec3 = tomopy.vector3(prj1, prj2, prj3, ang, ang, ang, axis1=0, axis2=1, axis3=2, num_iter=3)\n",
    "dxchange.write_tiff(rec1)\n",
    "dxchange.write_tiff(rec2)\n",
    "dxchange.write_tiff(rec3)\n",
    "print (time.time()-t)\n",
    "print(np.shape(rec1))\n",
    "print(np.shape(rec2))\n",
    "print(np.shape(rec3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Comparison of the test results\n",
    "\n",
    "In this section, we compare the results of the magnetization vector field components obtained thanks to the tomopy reconstruction, against the magnetization vector field components of the object given as input:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the first component results: first component\n",
    "\n",
    "Comparison of the first magnetization vector component against the input data object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e972d290>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60ea0efc50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(obx[27,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec1[27,:,:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the second component results: second component\n",
    "\n",
    "Comparison of the second magnetization vector component against the input data object:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e9606c50>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60e97083d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(oby[27,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec2[27,:,:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the third component results: third component\n",
    "\n",
    "Comparison of the third magnetization vector component against the input data object:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e957d190>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60e95d1310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(obz[27,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec3[27,:,:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the first component results (other slice): first component\n",
    "\n",
    "Comparison of the first magnetization vector component against the input data object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e945fed0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60e94d8310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(obx[35,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec1[35,:,:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the second component results (other slice): second component\n",
    "\n",
    "Comparison of the second magnetization vector component against the input data object:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e9356ad0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8ffL5aQCf2PA4xpjri+cRY64Jq1hf/ymA/xvAt5dSni+lfAjAzwD4gVLKFwD8wMm2McaciucRY643q7hRfnSg6QNn3BdjzBXF84gx15uHJ125Cj/qJwz7Du/WyP6J7TCv3KmxD2W4jVJXV9H2WL+rUoG0zKVDI1L0tOQftTWVC3lDtcUmnoGsnp1om3zcRi/MYkZWtLou2TfTRZt4Dr5WekxuUztbosvqvQv3dZ3x0Nhk+XyxLR2f2b4Za1hoLy1DmvGGGrSOC43hYDvh6EiqtdI22+ABoJuqFZ5s8s05uCKrWF/52VzIs6jWU507htDj8DV4mGK7gAcricC/S3/zqImi6OHrOJZrLMcJVvymCjWXBZY05zQedAyODuIpeX5q5xi2vubxR2HcO125McYYY64KftkwxhhjzFbxy4Yxxhhjtsq5x2wMenUlzwZ7g5v0q1kKcrGghzLy6oG/T581BfFUt0lrnYleR9peUU2QWac0u8YWsIDftNE7o2qJWTxBE87BKYC1r6u/lzZxGkP7NaXZNc0vnTM75ornOxVObS7XrqP7rLpnNy2DbeNDOQVf1254DDQ5UYRFYpDnrQK95/Qb81NcHviHZOFEWT6ARHfWeWSUpCTvKOcK518BoiYPyFyhpeJ5XmniMDhZhNzfrPy5pvLmZyo7h8QyFJksQopwHVQ1+R3ZnJftu05cWBaHoXFh8UCyLz2bmoNHf0e4dhKbx/OK/t1B9ee7I40F1DmH8rnEs8d4Dw3b05/MlzV5Jpp4Dt7eYJnCKxvGGGOM2Sp+2TDGGGPMVjl/6+uQdKIpyRMZhZc4mzZJSd7RkjbLJkBcDm1kE10OnfNy+3AF0pSl1VKTtOO8xNcscdJ+esx0OXYNe+umJEuT6ZIm5Bro0mg3On2/4z84/fNp24xeqzp8z3k8VBkrVdNZc7rwpCJsUz12uHikZvcPP0vHAMsqjYxzxciqvjaVXGn4jaXKs8qzI54fVLVg66vKJjpXsC0xk1wfhI4t9HFCDFZ8TatdhmWDvHp0sm8msShdIn8I61SPLsl8UHhe0b51O9iIzE+qMjf/vTIalu4BoCNZZTEWmyyNT5VfdMDO9pLJIpEd6+DGanhlwxhjjDFbxS8bxhhjjNkqftkwxhhjzFY5f+vrQJxGU0aeQwu0jDyXmE9KygPAeJ/11OG4DI3RaOyti2HNdmUyaycAsGZXk7gM1RY5BbkIbaku2+RvHk5lvhaZTW1V/RSQlORJAIN+b52YjWxfRi8VjQcdK51Y3+qIx6AclndtUqvHffksTRnrJEV5Zou9tKz6DMYfHwhxWsn8c7zNKcmH43eafmk8w6pxGo2dle3tMlc1af45nkjnmOQcfAgtTd880hQztUZu86pWXD7nOhb2xN6aljZo5tzMJpuUS0jm8rSchMLjQa+NDoFkDPL9actgyHHo77rFRAPFss4+GF7ZMMYYY8xW8cuGMcYYY7bK+cooFVE6CTbYuGtHS0GNvZW2GxlFlpfYEtTp0uim0khTjXN4KZ4r9am1qclKx9tqUeTlNl364+81/kldmlux5N9ZVX3UpdGQFTSxxep2Y71LjsPVWke6xDx8f3KJBYM0CkZj4+YxmFjWJPPoQi1sSZXijq7VQjvETjfu2xVxwa5c5FYvC0u1WgxUrfC8rz43LKnNl3Qmk+3C8y9SHB9Cqoo28wFLIGOZ4mkAFB1ESQVklVXCfCTnqEnV2bK6uzWiVXn52iXVoo/POVwFOlrxRbrm4+h1FMI8o/3h+7qGFb8ZSzzOqo7P/jg6dtUm29jDQyN91uflASMJvLJhjDHGmK3ilw1jjDHGbBW/bBhjjDFmq5x/uvI0tzY1ZdJmsAsmbYi6t8ZMlNAmxxnHA7FEqa7QRQi1kHOEg6qXSWI4RsOaHFthm2S0rDWqLS6xwjYp0YO2+ADvoStaxtq2Ye21aOwF67BqNR2PTt8PAMZqryWdWu/5eDj2Y0Hbi4mev8i+FE8hp+e2xl6Yje0lqc0HuSLOVybMFdrGcr3EdzEaz5VeT523uDqoxNlovFka3zVKUvCzDj/ROIwkzX4TslFO3e94Z449EetrZkuXfaNNf/PAoJXjMjS+JLW+aswGXXOdG/i42pbZ5GXfNC4sHDNuNmnHue8r/t0JtGOb/4rQ8blI3ghWnmMG8MqGMcYYY7aKXzaMMcYYs1XOVUYpGLa7phlE1bLKGUQPh9uac6yxopc5SJul0sXwUny0mspyX3Z+2c72ZcmlNlZXubDhh2j12sWpuwFoMyEy69jSgmU1WSYERCrRZdzMQtudvh/a+8PbWpE1Wx4Pl3GN5cXGlcrjU8auju1FklC1JBJL2F7NzfvwM9D5ZUvI4RBZW2IPbMZJtqbdSCW8nWQJ1nmMluYbW+pUdmaZRZ/xI9KSdmJV08qWWnluitpZaV5pfj3Ln9qWySqZxJBJJdm8of1RC2tmb00qVFeVsoJNX/rDc8xEJJZR8r2EZgwmaSSUrJ3bVFIJ1tcNJg+vbBhjjDFmq/hlwxhjjDFbxS8bxhhjjNkq5299JeqAlgxE+SqzBFa1rCbbWnCRYy0Wk8FTHLeHP1HRqzvl0/qkMhjHTIyGbbGZDQ6IqbO1ImysXBh/Y1v1MSGxegWtVbVVTRecpjYnHVRtaaxvq0aqMRujYT2VLa1NzMZ4uE0rKdbE+hpu3ZKxnKUrDynJN7XFXgXUIblqauYlbdk1ZP1cU0M3afYpZKJbSNDIePi54bYyFVtq0yGuSCzn4DANtcmHY8hzoheS057rfMRWWK2AuoYVNp8rklgH2TdNOx7adK5IgqQ0FmwyvG+YK+QwwV6vFvqmCvTwIEzn53Xcx7yvhv/Z+mqMMcaYh5mlLxullLeXUn63lPL5UsrnSikfOfnzJ0spnyylfOHk/09sv7vGmMuI5xFjrjerrGzMAPxkrfU7AHwPgB8vpXwngI8CeLbW+i4Az55sG2PMaXgeMeYaszRmo9b6AoAXTj7fKaV8HsBbAfwQgPef7PZxAJ8C8FNLzziYZ2O4DG5Tfp50zyYHR6ZPZbkzVJ9SvZwEK81lsQgxHOoHH2pBqwMOdzVonc23uPSw+sE7zU+RlJgPOdnld2jAS0aWZ2M0rG2mKckzPbVp6079DLRpx1lr1TTjIdZC9VSOtdCU0GukGWeaHBwytnnca+wHkmeJD3xR8RtnPo/wsTnUYTrcpqUEkOQNyGJiNCYnlBaQA2maGy6RsNiNA4dzWZSZfJHzXGjnmhTpdL8h0LPSlqqn40pejaJJYKgPTRxGCLgbjhlbSlL+PS2JsE5cBv9mPQ7l0tDcJnrNub2JvUjKHoQ4LDm/xv9kc06I2dLYLx3LdeCz9EdDE6vENa7LWjEbpZR3AHgvgE8DeMvJBPLaRPLmB+uKMeY64HnEmOvHyi8bpZRHAPxzAD9Ra311je99uJTyXCnlufm9e5v00RhzRTiLeWR23/OIMZeNlayvpZQJjieIX6m1/ouTP/5qKeWpWusLpZSnALx42ndrrc8AeAYA9t729kGvVdUKqGGZLB4zpG2WX9Cs0oXtLM2wLFllmbQbm25Yqx383iKzgSJ/8yt0q5pU5nVYGtHqsSwBFV1fo/7Uua7hJ71r5JCkyiItIzapg5ttljgSe6tKJZNh6+siSVfeLFsmbbyUrsuWzb7jVdvicXSpNEgnqSSoy9p4KDizeeRb3l4HK70mS8aNlZAkxSyrPxCr86ocw2NBTz/Xc85pXpvJXMEbiX2yTOQZV8mFrbGjuPYdJJZmYiUZR0tb6/I/Sz6JjNJILDxBNxqTSgx0rbKSBEsqsqYW1kwq4WeqSTOeyLOJZTWrEN2Oz9gdHmcLtdtz9eglkmBN5pHkr8RBe/2q0uwqbpQC4GMAPl9r/Tlq+i0AT598fhrAJ1Y7pTHmuuF5xJjrzSorG98H4L8E8O9KKZ85+bP/HsDPAPj1UsqHAPw5gB/ZTheNMVcAzyPGXGNWcaP8XxheiP3A2XbHGHMV8TxizPXm/NOVD2g9jQs004RSy6poWWl63GGdq8kMm8VscB/UekeNnXgbVSJkx2LX1BDvddg2DqMOtjUk8R2xhvCGaYWBaFldp2z8OvbWJC6Dt5sYDdFMWUNVHZT1VLU7cvxEZlHTdo3L4O2sjD0AsclJWzI+s7IAlxW+xmp3DSS248z6rmMhPA+JZV3jIDqJy1gkcx6Pd46t0G2N0dDnr3B8hxyn0nfLWOMwaF+N2dIS8xzfoW0cl9WUpqdzqJ1eJ8SQrjwpV5C0AYjxXYmFtZlHgvVWn/Hh2ItF0tbEU/D59e8unVfosNl8pMfJYi+yZyKL52istyvgdOXGGGOM2Sp+2TDGGGPMVjl/GYVXIweyiQKQjIjDbc3hG1sqtTVLpf3ntsprloVRlkrDcqy0Tel7au+V5d8gnaxli6VjaptaYee0/KhZ+UBSjS5NZqhljb+rFRjZ3jqJw69OEuvrju5LUklS2VWtZk1F1iBxDC9jtkuc9FnlD5VReIkzyUy5lOSZqNnzMpzQ8dISFD9+/jRJaCrH8v1VaVKOQ19etE9Z/0nvi7oy2foqPn2eK4rMI6GyqozTJsMy21KnIrnwsv1CsgSz5DFLZCREKaext1Jm0iZLaSrjqpadSCW8r84jScXcxiYfxkCS+bORNPSZTyysifwRzr8kJCAcp6kQPSzVtvPRsKwT01EMHyfN1D2AVzaMMcYYs1X8smGMMcaYreKXDWOMMcZslYfG+qqvPSXEQcQ21o5UnlanJcdeaGhB4RiK5PzH56TjqAxJ291wcUR08r3GosX9SbT85g0xsb6qnso6cbNv4/cdoLHlivbLNlX9jZweWGM0mhiO4ZgNjsVo7Kyktc53hm1ox/tmWmdiWQ2WNf2ebAetdTi+o7XMDh83tcXq2L1q1tcSr013NLwrW/Sa7NjswhzrhZFng12QSVpptZp2czku76tuUupDE4dBFlqN9dC058FCKzEK4fmfaTwXnXRHzx87VEdsfdXqsWxZX2KhzUjSjGeVnXXOic9xEpeRxFo08RPJdvv8D8dlhPlA/+5K4jKy+MNl81GYK5bMOfFAtB9nwT+rdOXGGGOMMQ+CXzaMMcYYs1XOVUapiIuTJVneZZuo2sCaJWSikVX4e02RweFlqTLS5VDa0GUqWirVpS/+Xp3p71AZg22ysi9XUhxemW1oVrh4GbOxxfadrVqBlffLMoYCUQ7R5c+dfv1NZZQ2EyhZWHeStsTe2mTaUxkltYwN39dU/tAMfollLWvL5Bj9Z0LNJDiWLnH658tGsN4l1tew9KtDmlewRf7UCs2c/Xfe2Fnpc5PBWPZli/I8aWskFm7Lra8slWgG09hXscVyRWjpeJ3KOel5LNNhqQbyPcyTUddI15xtOJFR1sjuqftm9vYov+RZOWM22iS7ZyLPN22JHNpII9S2rK8sgTTzEYbbmnOuiVc2jDHGGLNV/LJhjDHGmK3ilw1jjDHGbJXzt74yWSrhJG3qOq9Iocpikva8idlYqH7HbaJnsg6qWivFc2h28GxbwyBCtcLEatTIaipiz/tb3lSIJZ26aEXGFSswAjEuQ/dlC6vGaGhcRqjIqrEWbH2VtvnOsNaaVmTdNC5jmdaaabaZZXWdfVd8lq4KC4qp6oaCUk7b5mPQ56TI8vFhEut7iO9KYjR0W+eYUMqh+V6S5ryJ/eCYJbW+D5+f41aaqrNiIQ9WXImZChVq5Rlne62mvG5jJpK4jPDcLrGlJiUJ0nThifW1mStWPM46lYfb7dXmnLaybNwOj0sWF6bzRujr+hFfXtkwxhhjzFbxy4YxxhhjtopfNowxxhizVc41ZqNAZKCBcvPN9nBF51QD0/YmLoOPm6QyBkRDTXzujdZK+mXVlNeSd6OjbS15PVoxlbn2u5PYi9AfbSvJxeJyz2MR+iRfxuIG5dJQzznFZTS5M7JU4km+jLY0PB0zKQ1/3E5ta6QHTlOHr6HLrhq31Gyv8bxwaA7f4ksbylEQ9WMexmsknclKCbSl4emzniMEzMSmpkQBk+THaOYRvoeSAl1TV2RxGR3HU8hxyoTPn+fyCDEbmsuD83xIDo4uSVfezBWTJGaDn9ukbDugeS6S4yQl3ZfFUyCLmUicl+DCAAAgAElEQVRycKz6PQD533sr5uAAZJ7L+qpzJe+bxXYM4JUNY4wxxmwVv2wYY4wxZqucf7ryoSWXNBWqVjJlG1i6ay7HJFYzpWT7rmhZW6hFTVIk89Jkm1abTqdWU/XthUb50dQ/lVhql1wEkkoWeyKb7E3C9uwGVWuVKotZKvGsImJmPU2roy5JJZ7tm8ofq1ZZBTa3eGfLqqKXpb9j6Hy4vITrSJJjI5XSsnWWHnzeWN/lhJwufI15pElXnsxHhX9UJqMkFv7j9kSOWQwPAG5r7LRJNdtMYmlkpenwqNP5IEvBnaUAz+zu68jsmfyxjr01e/7T7wmphXZFiaVpT2yyi5HevIG+rIhXNowxxhizVfyyYYwxxpit4pcNY4wxxmyV801XXqLWwzpkUxo60dlYk8xKSus5hgNGch1Wt9fRbNN4DtFF2fraTeUwiZ1zrdSx4XdoPAd75kQjJTvr9A07oW16ayTbw6mEQ3zFOrEOzb7DqXuDtStrk/Y0Bfg6NrS17K01aVvjOImFbvB7l9T7WpFoxvqb5sPxHEwnNtBmXuFTLInvCmSW+uwcmfV+6ZyXxLRxzJbacvnxlwuQWWGbWBiO58hiNuRezZMYrrbMAO83HOvRHGfT2Ksl/yxfOWZijbbs+VyrJEFzPZI5h/ebyB9weY8NYr+WrmyUUvZKKb9XSvmjUsrnSin/6OTPv62U8ulSyhdKKb9WStlZdixjzPXE84gx15tVZJRDAN9fa303gPcA+GAp5XsA/CyAn6+1vgvAywA+tL1uGmMuOZ5HjLnGLJVRaq0VwN2TzcnJfxXA9wP4sZM//ziAfwjgF5eecWjZuPEEDXyGLHfpEqKcLjRna6NL1oIa6WTou4mM01R5bCxjtK8sTS6O+u/O5d9+c1ruWiRWUwAYky2sSiXHsOQslRynj/RDZf+NcU3z8LEi+9JGZhFbUiFzVekqXW5cy04qbWGJsyZtS86xqnSRPALL9l1VqrkoznQeKbKsvs5yM3+NLst8rJPM8L56zExWWUtyWVXmXZLtOJ2Psr6uMVcFGWWt89Nx9RRqYednc1OJ87T2gX2zsbLeM77687bWOfl7STbs9JhLjruqFX8dy+5rrBQgWkoZlVI+A+BFAJ8E8B8A3K61vvbX4/MA3rraKY0x1xHPI8ZcX1Z62ai1zmut7wHwNgDfDeA7TtvttO+WUj5cSnmulPLc/N69zXtqjLnUeB4x5vqylvW11nobwKcAfA+Ax0spry18vQ3Alwe+80yt9X211veNbt16kL4aY64AnkeMuX4sjdkopbwJwLTWeruUcgPA38RxUNfvAvhhAL8K4GkAn1jlhMP6Wa6ZDh9ws6+dG2xD05iRLL5DUpnPyRZbxBY7oniO2YHEaBxI9diD/gaMpvH2sw4724vHOXii3z54czzm0ZOxs+UmB5/EvvJvrlIRErJdpvSbpUJuSdIlh1gP5KwVF7Fi21LNNBxnwxG7xjnW6s+WOOt5BKva9was9kAewtUGZgxXRF10w4L5ereXdtYxnd3DNSy0oW1JqYeV25rjDne2JtWr16mkupZtO+v7is/xWvdR993wHFns1TpjMD3wOj/sAeeRVfJsPAXg46WUEY5v/6/XWn+7lPLHAH61lPI/AfhDAB97sK4YY64wnkeMucas4kb5twDee8qffxHHuqsxxqR4HjHmenPuGUQHl2LWsP1tvCx8VktGa7Xxcm9+/pKlZQsZ+2SpljOPaiXZqW7Td3W5kzZnt2IHpk/0B7715hig962PvRq2H9vZ748jKTv3Z71P99Wj3dB27zB6eg8O+n1nR1JpliUXkVgQJJYlA2vFDLMPAysP31X3e7h/7jBqfSVSSaU5zhp+Vm7X6sjBzqke0aQT68wjmy7jbzqPrXO+JENlExVYhmUUZJmQE2mmYZ2/PFKZaZ3BxF+U7XXsz9k5sjFYBzdOeShIjsmyQaxoGz9T66sxxhhjzKb4ZcMYY4wxW8UvG8YYY4zZKucbs4HE+tqUORz4fNo2Hz87TnPOrG2d/iQ6JMu5qknKOZr2ofNrsVYS1xYq1zUxCxTPoOej7ZuPHIamtz569/XP/9Ebvh7avmXvdti+2R29/nkq4vorsxuvf/760SOh7WsHcfv2Qb+vxnMckm13qvEcFLOxmGnZV82RnMTJnFU8x4aWwiLnzK2ayTEf8liUTRiMC9DxP1rRB700IGYdDym3ZefcsD/L5sPku6GYc7Zfp3OTHqee+lm/28lxxuO+DoN+b7EY/rfvYqHPQhluU1toiIUbfqbauZI/L3kWs3kkfHGNZzGL9VjnONnEsWFcSt0gDsUrG8YYY4zZKn7ZMMYYY8xW8cuGMcYYY7bKucdsDMY3rOPVHjreKcdBplEm50/jK5J99XtdGW4bjaLwxfrmSHzUvK1a54g1UtVPdV/a3h3HpByTrtdT33zjTmh7y26//a27L4W2J8d3w/aIxMYjidl4adTHZUzKPLTtSJKQvVGfJOSVyY3Qdveoj+E4mExC29GsP+dsFs+/mMfBtEi01qDhZprtMu/+qhpuk0478csn52hzi9RT97u0FAB0W0NchmrJWjpej/MazfOenV+fsdX3DTFcTaxDco5wviX5eng+kn27JJ6iozlmtGweoe/uNPMIHUfmsRvj/pnWuYpz8AAx1mI6j8/xlOI75hLrMU/iO9p9+22N/eDtuixmI8TNDcfJtd87vZ/HB1o9LqOJNxk4B4CQhyg8O7pvkocp5Hpyng1jjDHGPAz4ZcMYY4wxW+X805V3sn1CY1nl/XSph/fN0uFCpAtdFQoSR36cTA6JS5Mif5BUMpa2scgok1EvK0xk393R7NT9gCg/7EjbWGx5N0iauDWO9tZdOs43TaKM8uSoT1H++Oh+aLvVxeMwKqMwi8nq77p67VjyuS+/+WDWD+sjkVF0OXY+X20ZVaWSVe10gMoxkMZsiVWXVZP02rw0KicZTIN/aR2xNcqsjMomNHeUbB5J5gZtb2yh/FnTSAssuaiMkdpJw/dkjmmkEpYxVP7o21TG4OPoHMPzDxCfx1b+7Le7ZP5R9ucqo/TP5sE8/lXFZRCOFiqxDD/zM5FR+ApkEotKM7rvIjzHm8kxy6SaSudsRn8yjzQSyzhpy+QR7utooCHBKxvGGGOM2Sp+2TDGGGPMVvHLhjHGGGO2yjlbX0VrzVKAs746jrpfZjVNbanQNtIvG/007ht00NGwZqpxGOMsDiOxnu6Jtsk6qOqevH1jdBTadkVPfXR08PrnR+gzEK2obxxFOyvHZeyVeP5JieeY0zvsRGI2ppXSjEvsxzwJIlBdmmNRdrqoL++Peu33cByH+KHEbMxYzxVb7DykRB62zGaplIGoizZtA/s1jXqcxuo2EAwFsdCGY15iHyz/RJ4f9PmntiwFt8ZBaMzWaJTFU3BbPIwel5tbe/uw9Z3P0TwLiU1eY7Y4FkNjLWIcRnymJrLNc44eh+eRmzIfqd2dOVjEmA2O4dCyB/vz3vp+KDEaM92m2A+N2Tha0Hykc0MdtteqvZWtuPqMrxP7kbXVOqfPib13rvOIxpBQX6W+Re1ojpH5MNjKZ+sHfHllwxhjjDFbxS8bxhhjjNkq5yyjlGDDCxa9xGbT2PwSy1ojhyRSScjYqdk8m4x5tDS5hmWV29Q+llnGbo3j8iPLIyqjcJXVm6NoQ320O5B9+/Y3NDJKf3793g7oN8pS6EiW44/oHXYkKR1ZjtGlUd1ejIffhTs6py7x7owou6jY6Q5nKqvQMmpifZs2mUdpaTRZpjzeHpZcgi0Ow98DIJV/l2QtHWiLlWQvqfe1IGb8ZLeeSq4kf+jzPwoVSOMpdD5gGSObGzKrabNvYq/X77Ecom0qeezQPKIyyrjj53jYXn+ji/OPSjV7XT8H7RaVg/vtPW2j7bmMd33+73e7r39eyFi9H2SU+Ezrcbj9SPclyWUmJclZclFpRu22PFfocUKW0sRCrxJPK93Q58VwX0cjkWpk7ip0oCajcvhqvOeVf1eSUmIIr2wYY4wxZqv4ZcMYY4wxW8UvG8YYY4zZKudf9ZVJqyXSxyYOI6lcqLbU0XDMxiipTrhpXIbGD7CFVVOJZxbWWxJ7wRaym6KnsoVVU4fflG1u17gMjq+41dhb6TousUxyu8ZzzOn8mspcNdz0HGw37oZTtKuefdDFIT9he918WJcdd9JX1lo1Bfoijo9ZqCw5HJcxb1yBsm9oEstaVno0xHoM73apCFWhV4vh0rmB2ybjePE1LoPbtW2cpQDXeYW2da7IUoCPEzurpgTfpeOq9X2XYy3Ussrfk1gLjtEAYtzWrrTtFI7ZiG3aV4Zt8QBwj+Y5jcPgcy4kRuL+Yidsc1yGzjFZPEeI52riOYZtshqXwcfN4jI0DkTtrTGGJB5nwhVypUSD2q+1EnaEf4c0UfzTJtOIVzaMMcYYs1X8smGMMcaYreKXDWOMMcZslfNPVz6UI6MpMT+gySLXYceiva5a4l211fXiMrjEu+bOYI1UYzY09qKPZ9A0vyGXhsRhPJrFbJThmA2Ny2C9eS/JpbH0DZVul+YSmIPiUpLS9Mtg7XekKZkL36vd2NbFvBsc03E0ilom5+iYdsPxHHMZK5qvYxRSomsMyzq5Lii3h6bp5+1GFqdcHuF+XI0AjpBLQ/NscGyPzA38/I8lnmqi8wrHWoyGYy2anC+dxoJQXIYepyTxHNSWxWE0/ZHnmLc1DoPnGC1BkMVsaFwGP4/alqExXNwHjcu4Rc+xpjnX6xFK1cu+hx3n2ZG8PzQfaBzGoR6H4jI0ffpe7X+H5uA4ornhhrZpfzgniMwxHG+mcUNHEqNR6G99Tb0/pRiyIqEdoezBNtOVl1JGpZQ/LKX89sn2t5VSPl1K+UIp5ddKKTvLjmGMud54HjHmerKOjPIRAJ+n7Z8F8PO11ncBeBnAh86yY8aYK4nnEWOuISvJKKWUtwH4zwD8zwD+fimlAPh+AD92ssvHAfxDAL+4/GADf66vPUEqGba3Zkujx9u0pL7G0mhT9ZDatSIr76t21iwF8Dppx7lN5YdHu/2+b7JsqfuydLIrS6w7vIyrFkKsQ3+cqdzwPUp7vijxesyLWD274ZTgGWy9bWyK+ptpGXVfUpvz+DgSGWWSVIsc6fJnSEOty5/DV1aXOHlhu6ksyfKMSjP8ky8wQ/mZzSMFKOOhSrYRniuaas1sNZV5JKvQnEklasPWeWQcbKmxjeURPU6QBlUa0eOQ/KDzSHacPXoeVTZRCzvPK53odjvhHFGO4eNolWe1pbLkcVDjs7lHcuxBiW3ZcXZFRmWJpUmXThZalV9Ukr9Rh226bJPVOWanY+tr/Ot4vIj3h4+jEgv3R0syKEd0S/TRWZAMuZgOW2TD83fG6cp/AcA/QP+3yBsB3K71dTHqeQBvXfFYxpjriecRY64pS182Sil/G8CLtdY/4D8+ZddT/31RSvlwKeW5Uspz87v3NuymMeYyc6bzyB3PI8ZcNlaRUb4PwN8ppfwggD0Ab8Dxv1AeL6WMT/5V8jYAXz7ty7XWZwA8AwC7f+VtVyP83RizLmc3j3yb5xFjLhtLXzZqrT8N4KcBoJTyfgD/Xa3175VS/hmAHwbwqwCeBvCJlc7I0wT/u0btelyWex7/AdStYRfkXRt7a1b+XWI4QtrxxsI6pc8xDoF12MzOqttZmvGsrYnZkO3dYFkTDZuuVVQWgVGWDltY8E2uan0dtuU1VljuXpZhV2BdOLPFAlFD1ZLb+3NOER0flW4+HBeCOJQC+rckpytedoVr8kyE2tDDGaEvzO161vMID6tuPHwveNjq9eX4rixG47i9Hzf6/N8c98+txlpkcRlq0eS+q701lHSX72kZ966s9oxpPMVOYmdtrLDUrvEcfE5t49+odlKN4eDrzDEaQIyL0L5mFtpbNc4xHAuicRn8O7gkBNBaX/m7Tcl78pDqvTsM35tL23DsB2bDpq2FlJhvrjPHwslcwXFi+ixViqNs5p8VeJCkXj+F4yCvP8Ox9vqxBziWMeZ64nnEmGvAWkm9aq2fAvCpk89fBPDdZ98lY8xVxvOIMdeP86/6OrT6on/Oy5+6NJpUfdVMgDu0HKrSCEsne5r5c6z2VrKwJtVadfmTpZEsY9/xNmX3TKq36rIhb+uSqkoDmb2VF+0mIpuMkkX+uS6j0mdVvBa0xr9AvB/NcWm5T6ulcptmKe3CUqBUyJS+sszSzfU4G7bJOcp8Ne1Cqyzq8iePe30mwq56q4aky8tKiVlD4+/TbMPDFVm7ZMk4q96sc0Wwtze2eH0ehyuyhgyeyfday+qw3V3HP0slml04y/ypcgjPM821o2dcn81gfZU5Ru3tC+rrgVaIpu+q1VSrx+7V/rdMoRb2YemILbT3FjETcSYd3RQZY0qyilakzeaqidjt1TYbjkMVajPZBABm4ZmIbeHvU5WHuYmfvzO2vhpjjDHGbIRfNowxxhizVfyyYYwxxpitcv4xGwxrQhJ7EfRpeSXitMNNmnFJO7yT2FtZe9UYjSwuQ3XYmGZcra/TU/cDcq1V4ztCXEZifdNqrbrNcRo7opl2Yb813kM1JIHtxtK0COmKo0ap1je2uy20P7ypVs+k66q1jkhD1ViLTNPvSD/NYkbWQbXWJiX5iKu+SiVHel6q/v5Q6PUqBG3UELPCQ0Md2nwNNc4lK1eg9zCbR4L1fUlJAn52dbxl9tZoWdVnetjCmsVlZLEfbYyGnnPYXz0J1vPB3cJ+QBv7xWfQa7WguWIufTuo0leK6dB4jpFWTyY4TkPTJswlpi5LrX6Y+M35nqv1NovR0PiWHboeR4vhtPxAHPdTaatUIVafpTAFhwCz1eY7r2wYY4wxZqv4ZcMYY4wxW+X8ZZShJV1Zlau0rdnKZlSNbqaySbJM3FQA5WqNahETqYS3VQ7JsgIG66taVlUO6aYr7dtm91uc+hlo3yYnSRvbWzOra0NmtUxssbpsqrIKL5Uu5DeH77X+2h6V4JL0mmo9y2DJYyG6hY4lHmfdYjgVqsomM7H78rjXZ6KGDKKqJdD2FUz0zfJIld/eTahNZSreTy6MPv/cns0NamdtJY/hrJSTkMEzzjEs1aktXucDrsKaybGZVNJcj2ReySz062QebucDPkc8/7TyfmrTl+MEC61IR2SLVfmDf6SeQ+UYljWyrMX698Pd+V5/zDJcyRUAdsAWa50r+u/q/NNkAuXP8kyw9VWfpfCcbeCh98qGMcYYY7aKXzaMMcYYs1X8smGMMcaYrXKx1lemSVfO1rZhW6zqWo3OlVRr5G21qKn2upvosjdHXJF12N6q+mmmvaoOu0MK5o7EHXB6YLWTNXpqGY7L6BJ9tUvfS7V0IH3WFNyhsqza2YZjNuaS2pw11D0dPBvaYpt916g0m8HxHTMZg5xKeNrlmm20g2u6ck4ffBXsratTkrmirhijsliiQWs1VyZNQT7SZ7xv1/ghjtO4JfMI21s1JiArX6BxSHtJRdYYsxFZJy4je8SyWDANveIIivYxpgqkamdP5ooGjqmRk/A11xiNe3KYx0f3X/+ssR8dWVEXNaY9578vlpVW4HlkX+pyZ2nPlWykL2iCbp6lDSq9Ml7ZMMYYY8xW8cuGMcYYY7aKXzaMMcYYs1XOOWajoJAmFHRmlZlIH6oi5rHOfXAUtavxKB5od0xlytfwBjdlk5MSz2n55zQ/hnryZ0kbn2O4bLymB9awA3671BgN1lPzGA09pu5L/dNwChLRtW+qC3PejVZ3nWElkq4BsVT1rpRintNYze75YVn9MdIxOKMcHUfzeEV0bM/n/b6Nfsrb+ixxOEfwzl/i2A5OHcI5DiTOZRFylYiWvxge4zMpW865VLJU3YrGReyG+UDiu6hN4zKydOVt7Mdw+XeOy9CYKZ47NFF2FpeRxX6tk69Hz8l5NxYafLNGGvQpbU9k3jig+3pTYuo4RuJVmUhuId67I5rNFjrpJFPpfbp107p6kFg2BnXsNu3JuOfnRdP7BzaYOryyYYwxxpit4pcNY4wxxmyV87e+rrr8kqz2BpuP2HN0GXUSrK9iZx0ldla1sHbDFtZoWR22rO0tqfrK2+2y/WopyZsU5IlU0ix/0rfXSTOscEFAPUdMQR6/N5elUl4O1VTmfNjWFkvVUSWV+Fzkqb1uWH5Y0DVYiMTCv0OXP2diYZ1RtdYjSVd+RPvq2NWxzeNer91Gz9UVIVvu7eia6vLxhJbJpyJh3RrHZ5VRKYzviz63mQ1RqwXz879Thq22Om+oVJPNFfxMZXbWSTJvALlUso4Em8FHmcr12OV5ZJnEUtkWGpvYbq/X8YCuiMomc7k+80WfdpyrVQMxffxUJNfMstqOJbb7ZmkKREaaD8sq+kxwRfXZLLbF58zpyo0xxhjzkOGXDWOMMcZsFb9sGGOMMWarnG/MRoW4ItkGK/uSXJVZX6fTqEfd73bC9u6IYjZGUQObLnr9fiGe0XnyHtaklSUtS3XYnSQ9cGanzFKS63G465nV9bivm9lb1yE7btAoRWvVvnNcgl4PtqU1bTR4FkVjLYa319FTM1RPnVKcxtEinuNg1hv+7h/Gsatje2XrqzxMwe7KP+MSl5tnyZytr418n0jLbG1W7Xp/Fo2YOxTfNZfry2NxmX1xFJ7j4THVlI1Pxt+eavt0Y/eSeJadxM46kecms7BOyuqWzWxu0HIF8fzxuZlSqfjWlqvWV77mek62xcr3eDDJ9Z/LfZ4k8zynL9d7no0BHUs8znQMciyYjl0d21OeR5q/eIdZZ9/T8MqGMcYYY7aKXzaMMcYYs1XO3/oaPHtUrVGW6cJClFhweDVHV5OPxC746kFfZU+thTuhkutY2uL2HlkUF3X4HU2Xxdj21C1ZQhsFW5q08ZK+nHMS9ssta9ly6OisJBbqu9pZ+fwqN2RW2LYK5fDyI1thNfPo0RpZ+kLf5J7zEuehSCOHc5FKaPveNEolPD6PpvF781nsa+XnQJ4JvnhFH4rF6ftdZsIKd/KTeD+1ErMlcGccpYjGokz38M50L7Sxbf7mKFokdSk8k1lY0tNxu4fhZXqVDbK5gs/ePlNkfV9iZ910ruhSy+Tqx2Hbrs4xbRVqkkqrytN0nOYcNHeLhDCVvnJV7ler5kIdhsdDI5vIteJ5Rscgj08duyq58LhX2/hii/ODVzaMMcYYs1VWWtkopXwJwB0cv/zNaq3vK6U8CeDXALwDwJcA/Be11pe3001jzGXH84gx15d1Vjb+Rq31PbXW951sfxTAs7XWdwF49mTbGGMyPI8Ycw15kJiNHwLw/pPPHwfwKQA/texLLBHVgfgNQGyxcozKaaRFsJ2KDauUXj+7LfrUmDS5scRzjDtJj8u6rKQdD5akxFqplRwbCytYax1O3d2kGQ76aUQru55VSvJV0XNwKvOmb6K9RmueaIu07zy5jm1/RM9N7J+Znnqw6MfV/jxqtPfmMS7jzlGvr97ej1orV3ZVq+tiJnFMvC1xGSWr+srxHA+f3XWjeWQItedFW2xs42deK+wqO13fvjeOttR7sz7uRsse7Ep6fLZXa/wQp7nWNPvrZIfmuUKHwl6SZnzVeC5gib2dSyKIhXZeh2Ot1ELL+y6aOBU6rjzTCxnjWZwYb07TcglnM1fqPZ/WfjxMJfbrLo0rII4z/R1sdz2YScyYjG2O6VFbLD8jafzGBvPIqisbFcC/KaX8QSnlwyd/9pZa6wvHHawvAHjz+qc3xlwjPI8Yc01ZdWXj+2qtXy6lvBnAJ0spf7LqCU4mlQ8DwOiJJzboojHminA288g3Pbat/hljtsRKLxu11i+f/P/FUspvAvhuAF8tpTxVa32hlPIUgBcHvvsMgGcAYPdb3155+SUskjdLNgM7AsH2t8T0hBktzR2UuJz0cnfj9c+ZLRaIy6MH3UTaaIm1xiXWTdFMpKFNtrvQtvrSqLLq0qiSLXFqVsB4Ds38OTwG0t+s1ypUnY1tzfI0kdkUWTYBonSiMsqrR1EqefmgH2e6pDkj6WQxlSVN2Q5210Yq4c8isfAluEAZ5czmkXe+NfyK8PN0KCQyyiLJiHgktuN7pZfGmuq8O/1J90VCa7IEs92+xn157tgT+YGzUO6JNKPPDWcUzpauVcYM/RRJQ+eGbD5Q6WTVtmxfff6jHCPVfKVrnG1Uf3Nmr+efqGNF55U7dH80SzFLJ/cXURo5IBnl7jy27S/i+OB5RucYttTPkiqvQPwtmeyohF+8gaq09M6XUm6VUh597TOAvwXgswB+C8DTJ7s9DeAT65/eGHMd8DxizPVmlZWNtwD4zXL8RjgG8L/XWn+nlPL7AH69lPIhAH8O4Ee2101jzCXH84gx15ilLxu11i8CePcpf/4NAB/YRqeMMVcLzyPGXG/OP135EOt48koSz9FsU0p0tYx2w9ZXjQMIVf3EasVtqtF2oeKgxDY0xxnel3XILCV5psPqdzeN0Vi27yJYeNXCR3Y2ueWZnqq/Odj71LJG5ziS4IYduT8HpP1mVXize65jpRlLtN3cng3HciqaNjEsVyNFeWCD2JMmnoM+T6QitOres1F/D+9Lynm+310zFmRMzfttjb24X3rNXsfphPY9auIntFpp/3k3ufXtc7NZKv914jAuAp6DpnWW7Bnh69iUPZB7wO0Hkq6c4zTY6goAd+d7tJ+UMpCU5GyF1THIFlaNNxrL2J7T2G5jnHhDBg9vb9H6aowxxhizEX7ZMMYYY8xW8cuGMcYYY7bK+cZsVIgpvv9YVB8azlQd8ghUEf6rpHieUm6C+TRqV5we+t5h1MBe2rsZtr/5Vq+X7e/FfTkHw3QiKXdHw6Kpxmyk6cqTkurxGKunFb5o2r4N593QXB6851HVnASUH0P001cXUQe9Pe/v80vzR0Lb16eP9m3TW6HtxYN+36/ce0M8x0H0yx8e9gYVICAAABGsSURBVH2YHUlKck5RPtXS8KunJC+LRE8d0lcfvtTlK1JCPoCS6MyVROgsp4DGaGgujfuUHyXLz6Ft+oyHtuQGZLFf2qbxXRxP0GF4jtE4qCkXWZecM90lCvvRkvOa64fhFOVTuR08r0ybOUZKFFBcxqvzOMfcmfd5dl6axXnk5Wk//9ye3ghtt4/i9t0jjtmI5z+Y9n+Va8yYju0s90yWZ2N4v9W+8/D+TWSMMcaYK4FfNowxxhizVR4e62uypFtkOZlznhdom0BOp4UkvWXFpYhl7Z5sv1j6JfWmQiwta+51MV35XpkOtmkK7L1R364piOfBhqUSy2bVGtext65DftzVqzUyujTK16O5VmxDk2usy593Fv1S5V1Z/nx11m+/dBRltRfv9+NBJbijo/hYxZTkYi/kQZjJJkCQTvSZGJInrwM8NJqU5FzxVi8nt41EjtX01DQf7C+pEJvBx1HJheWRVmIdlgJGo0wqGa6I3NjraXPaSDX6TFNJgqqSz3DV103JqsWqTKLbPF9O1SYcPsffeBjk2PhMs/wKRHsrzykA8ArJKN8QOfYOzzGHse3VQ6kQTdVcdQzy30mNNIIIj/tWRqH9krZN8MqGMcYYY7aKXzaMMcYYs1X8smGMMcaYrfLwxGwoK8ZwVNlxaQwHsSA9cVbipThQJy5pn18bRYvkmPTV3aY0PcVsLIbjOYAYT7CjOqRoqAxrkpuryZEH0VozfXWt49Dv0l/PZ8hsaVnq4OPtPt7ilVnUWl866jXUr+3He36X4jTasvFxLIXS8WLNBsVlZDEawIb21quIWuhX/VpSfn6xkPGelC/QlOSsny8rY8/fnSdtGoeUoan0591Bf8xGaOcnSdrolBNpOkCc1/ZovlQLO9vUs3gORe3tGRyXMZVzTGX+4TiNA7keB3QPDsTu+2rlOIwYP6HzyDfINv+y2FtfPCIL/VFsY3vr7YM4/xzO5O8kmld0DDI6rnRsR+vr4GFyNogR88qGMcYYY7aKXzaMMcYYs1UeXhmF2dAWCwCF/G5NcjTKLqpOwqlUQOy6/lK9ehCX1HhJq5VR+u2sqigQKz3uSLXI3cqVZdXq1tPYYrE6Z2VT4+OsI6lo3xcDn4GY3U9taZkNTS1rr8wog6gscX51v1/+1Ht+SEua06lmBZXrSOOssbfydiabANfa3roqellKsmS8YCuxLEurHMJPo9pJGbUkzhfDsopKLEeL8WDbtA5XZD3StmRWv1WO+r5J1dk5zSt7WvW6kT9oXsPq1WLVip+hdneGs502skkjlfDn+Gzep7njXo0Wdp4rdN7QeeXFaZ9FmLOCAsCLh/08cnca5ZeXSTrRsXMkMsooqS6s0gnTjvth6+s2K0R7ZcMYY4wxW8UvG8YYY4zZKn7ZMMYYY8xWuRwxG0qiXWv1WNarGvcoVWStYjuci0Vxn3T4qaSjZq3tzmHU5P5y77HXP7/z0W+Etld2RAec9HEBbxrfCW0Ho7uvf3687oe2RzkNeqfRDVGXZX11V+y+HF+xLesr29SmYmg9lO/dofzldyTt+G3STL8h1Vq/Nus10q9OHwttXz2KFVq/eOeN/THFenaXqrceHUoKcqreWrMYDYilVccgVy/Vy+a4jNMpGKwKvanirPbAklRrzaKQOnn+VHefUgVO1dkP5/2+M+nP/pys1vIsPDm+F89BcQh3usPQ9vjofv+5ux/aDimG40Amy1vyuyb0HKv1to3vIJIx3RWNbxlOMz4PbZF7cu3StOOL4bgMruT6dZpTgLZ6K8d7vSzVWl8+7I+r1Vp5jtH4CR1LTJtKfDgOo7F1r4jexRD7sX7RV69sGGOMMWa7+GXDGGOMMVvFLxvGGGOM2SqXM2YjQ2M4WHosSTyHymPz6B2vpMNPRaPnEuJHR/F7XH78FSkZ/MYbT4Ttdz7y9dc/f/POq6HtLZNXXv/8pnFseyPFcxzUqNE+Kvk6biZaNHvgRw/wHjqjwAT1yt+vU/oc2+4s4rW7TZppG5fRx15oXMaXDx9//fOX7j0Z2r6xH3VZ1kwPm7iMfrseDcdlLEszzrk1HJexBTiLu+jVJZTelq9loQXNfeF8PVoiYRjV3bl/r96P88GM5px90fYP5hQXNotxYXd2JJX2Tj/nPDI6CG0ch3BvFI+z1/U5OB7t4vcOZV6ZhJwcmpKcS9xD2oZZyDWfc7lz2ZdTi2u5Ak4zDsS8O/ckzTjHabw0j3EYd+f9df3KYYz1emUq8V2UP0Njv/YpJ4+WNug6SoOfxGgoTbWCDVOQN/vS2K4a6zEQJ7UqXtkwxhhjzFbxy4YxxhhjtsrVk1EyMolFl8J1bbSjP5iKHENL7NNOrG6Tfmns/o5UCpzEZbs/3+uX/x/di8uWb7rR29u+9dZLoe2tu7df/8xyCwB88zhuv2nUW2ofp2VTAJjQz3q0qKFsde5UrsgY225TldWvzaOd7CszsamSPPKXJI0AwJ+TPPK1/Xgd75A0cnAg6aM1tTjLXmph5XTWjVRiaeTiqE168dcY+vPjtjXOoHJMctysAqdaFPk43Wi4euyBVA5mK+zdscgEs5hm+6WjXhp4bBJt8m/a6SXXm/L8PzburbC3EsssADza9cdtyi40/u4e3ZdJU7JLSnS2/96vw9IIEKUTLk8AxKrPXzuKUi1LJXqNXxVJ/IAszizNKqPRsFTS/pWzemXXTdFnIoQWJCn8Y9tqE95KKxullMdLKb9RSvmTUsrnSynfW0p5spTyyVLKF07+/8TyIxljriueR4y5vqwqo/xjAL9Ta/2rAN4N4PMAPgrg2VrruwA8e7JtjDFDeB4x5pqy9GWjlPIGAH8dwMcAoNZ6VGu9DeCHAHz8ZLePA/jPt9VJY8zlxvOIMdebVWI23gngawD+SSnl3QD+AMBHALyl1voCANRaXyilvHl73bwA1ojvKJzaXDWww/59rnZRd5yKZjslK9qdcYxD+MpOH7/w+Z23hLa93T6+QmM9nrwRtdZ33OpTpqu9do/Snj8mGu1EylGHfksK4FdIM9XUyl+hdOFfuvfG0PaS2FJD7MVhPA6nC1+I3Rh8P/Re6TbHXjR+soHPZhO2No+w7pyVmNcbzKW2x+Oopatezduqloc2/d4a2voo2HTj99hCf1/skweSEn1v3D+rt8fRhvnKbr99YxTjsnj70XG0vmpKdI730LmB4zI0lXmXJHtfyL9952Rp1XgOnnM47gJoU4nfmfXxFfvzeO14+/ZhvFYHM4qhkWus94Dv12Q0HJeSxf4s25fTjmdjcFm80XxOx2lykpOFtjkH7bYl6+sYwHcB+MVa63sB3MMaS52llA+XUp4rpTw3v3dv+ReMMVeRs5tHXvU8YsxlY5WXjecBPF9r/fTJ9m/geNL4ainlKQA4+f+Lp3251vpMrfV9tdb3jW7dOm0XY8zV5+zmkTd4HjHmsrFURqm1fqWU8hellG+vtf4pgA8A+OOT/54G8DMn///EVnv6MJNVoeUNXcKfrmFfogqtKmjcHfgMAC/I9ufwjtXPeUnoLHE89Jz5PBKqTg5LHCEjoowTzt7YVtwcllFG3bDkMkmsjcvIlsLZTKl22sPpcBXq3YlKLv22/o7dUT+z3BxHW+xfjqL1fEKZicda9ZXaugfQHxd0N6eSXXjGEou0HcxF8iDb6qG0zUma0IqsfF3Vhro3ibNwZlPN7us6sOjVVDdniUWr5y6Gx7a2hWdJ+8q/Yx0f+Qmr5tn4bwH8SillB8AXAfxXOF4V+fVSyocA/DmAH1n77MaY64TnEWOuKSu9bNRaPwPgfac0feBsu2OMuap4HjHm+uJ05cYYY4zZKtcrXbkx5kqwsmTMKZabOIz+s6aR1niGnfGwnXFMVsdJlx9nOOUzBvfTfTU+YLEzfDHmUrnzVbKTj+R68O+428WU22rn5D5MuuE2ReM7mFkd/revxqlwnEbTJhW7p3QNZtI2p5iFR3ZjnMqtnbi9Kuukus/Gg947btffMaJ7cDScpeD4uIn1tWoMB7eFvuTnOA2vbBhjjDFmq/hlwxhjjDFbxTKKMeZSE1ywIluwzU/trLEtfm8ssgFvj2S5myWGscooIhvs0L66/B/6plIJ7ZvJFM1xxHr6+F5frVXPz9v7s2gDvXOYVDLVa55ZkdeAe659VYmBUfnjkZ0+q7JeO97Wa7VYo/dclVfHwKr3+UikkdrF741IOpqq5ELnWMjwyEaL2mT5nGqLXZD8somh2SsbxhhjjNkqftkwxhhjzFbxy4Yxxhhjtkqpm5Rv2/RkpXwNwP8H4JsAfP3cTpzzMPUFcH8yHqa+AJe/P3+l1vqmbXVmW3geWQn3Z5iHqS/A5e/PSvPIub5svH7SUp6rtZ6WSfDceZj6Arg/GQ9TXwD356J5mH7vw9QXwP3JeJj6Alyf/lhGMcYYY8xW8cuGMcYYY7bKRb1sPHNB5z2Nh6kvgPuT8TD1BXB/LpqH6fc+TH0B3J+Mh6kvwDXpz4XEbBhjjDHm+mAZxRhjjDFb5VxfNkopHyyl/Gkp5c9KKR89z3OfnP+XSikvllI+S3/2ZCnlk6WUL5z8/4lz6svbSym/W0r5fCnlc6WUj1xwf/ZKKb9XSvmjk/78o5M//7ZSyqdP+vNrpZSd8+jPyblHpZQ/LKX89kPQly+VUv5dKeUzpZTnTv7sQu7VybkfL6X8RinlT07G0PdeZH/OE88joS+eR5b3yfPIcH/ObR45t5eNUsoIwP8K4D8F8J0AfrSU8p3ndf4TfhnAB+XPPgrg2VrruwA8e7J9HswA/GSt9TsAfA+AHz+5HhfVn0MA319rfTeA9wD4YCnlewD8LICfP+nPywA+dE79AYCPAPg8bV9kXwDgb9Ra30O2sIu6VwDwjwH8Tq31rwJ4N46v00X251zwPNLgeWQ5nkeGOb95pNZ6Lv8B+F4A/5q2fxrAT5/X+em87wDwWdr+UwBPnXx+CsCfnnefTs79CQA/8DD0B8BNAP8PgL+G4+Qu49Pu4Zb78LaTgf79AH4bxzWdLqQvJ+f7EoBvkj+7kHsF4A0A/l+cxFxddH/O8z/PI0v75Xkk9sHzyHBfznUeOU8Z5a0A/oK2nz/5s4vmLbXWFwDg5P9vPu8OlFLeAeC9AD59kf05WW78DIAXAXwSwH8AcLvWOjvZ5Tzv2S8A+AcAXiuh+MYL7AtwXOjw35RS/qCU8uGTP7uoe/VOAF8D8E9Olof/t1LKrQvsz3nieWQAzyOn4nlkmHOdR87zZeO0OrvX3gpTSnkEwD8H8BO11lcvsi+11nmt9T04/tfAdwP4jtN223Y/Sil/G8CLtdY/4D++iL4Q31dr/S4cL9//eCnlr5/juZUxgO8C8Iu11vcCuIcrKJkMcNHj4KHE80iL55GlnOs8cp4vG88DeDttvw3Al8/x/EN8tZTyFACc/P/F8zpxKWWC4wniV2qt/+Ki+/MatdbbAD6FYw348VLK+KTpvO7Z9wH4O6WULwH4VRwvgf7CBfUFAFBr/fLJ/18E8Js4nkQv6l49D+D5WuunT7Z/A8eTxoWPnXPA84jgeWQQzyM55zqPnOfLxu8DeNdJJPAOgL8L4LfO8fxD/BaAp08+P41jzXPrlFIKgI8B+Hyt9ecegv68qZTy+MnnGwD+Jo6DhX4XwA+fZ39qrT9da31brfUdOB4n/0et9e9dRF8AoJRyq5Ty6GufAfwtAJ/FBd2rWutXAPxFKeXbT/7oAwD++KL6c854HiE8jwzjeSTn3OeR8whEocCTHwTw73Gs4f0P53nuk/P/UwAvAJji+K3uQzjW8J4F8IWT/z95Tn35T3C8fPdvAXzm5L8fvMD+/McA/vCkP58F8D+e/Pk7AfwegD8D8M8A7J7zPXs/gN++yL6cnPePTv773Gtj96Lu1cm53wPguZP79S8BPHGR/TnnMeF5pO+L55HV+uV55PQ+nds84gyixhhjjNkqziBqjDHGmK3ilw1jjDHGbBW/bBhjjDFmq/hlwxhjjDFbxS8bxhhjjNkqftkwxhhjzFbxy4YxxhhjtopfNowxxhizVf5/jr7KXVUCXasAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60e942ccd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(oby[35,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec2[35,:,:])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Comparison of the third component results (other slice): third component\n",
    "\n",
    "Comparison of the third magnetization vector component against the input data object:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f60e924a750>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60e9304c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(9, 7))\n",
    "ax1 = fig.add_subplot(1, 2, 1)\n",
    "ax1.imshow(obz[35,:,:])\n",
    "ax2 = fig.add_subplot(1, 2, 2)\n",
    "ax2.imshow(rec3[35,:,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
